Answer:
C. 120 m²
Step-by-step explanation:
The surface area is equal to the area of 4 rectangles + area of 4 triangles + area of base.
Area of 4 rectangles:
4(5 × 4)
4(20) = 80
Area of 4 triangles:
4(3 × 4 × 1/2)
4(6) = 24
Area of base:
4² = 16
Add the areas.
16 + 24 + 80
= 120
The surface area of the composite solid is 120 m².
Distance traveled by an airplane in 7 hours = 4,914 kilometers
We have to determine the unit rate for kilometers per hour.
So, distance traveled by an airplane in 1 hour = ![4,914 \div 7](https://tex.z-dn.net/?f=4%2C914%20%5Cdiv%207)
= 702 kilometers.
So, an airplane will travel 702 kilometers in an hour.
Therefore, the unit rate for kilometers per hour is 702 km per hour.
X^2 + 13x + 50
= x^2 + 8x + 5x + 40
= x(x + 8) + 5(x + 8)
= (x + 5)(x + 8)
Answer:
![h_{without heels} = h_{with heels} \cdot 0,96](https://tex.z-dn.net/?f=h_%7Bwithout%20heels%7D%20%3D%20h_%7Bwith%20heels%7D%20%5Ccdot%200%2C96)
and
![h_{withheels} = \frac{1}{0,96} \cdot h_{withoutheels}](https://tex.z-dn.net/?f=h_%7Bwithheels%7D%20%3D%20%5Cfrac%7B1%7D%7B0%2C96%7D%20%5Ccdot%20h_%7Bwithoutheels%7D)
Step-by-step explanation:
Straight forward from heels to without heels -> times 0,96
The factor 0,96 comes from: (1-4%) = (1-4/100) = (1-0,04) = 0,96
e.g. ![190*0,96 = 182,4cm](https://tex.z-dn.net/?f=190%2A0%2C96%20%3D%20182%2C4cm)
When going back from without heels to with heels you have to "think the other way round", simply solving the following equation for ![h_{withheels}](https://tex.z-dn.net/?f=h_%7Bwithheels%7D)
from this:
![h_{withheels} * 0,96 = h_{withoutheels}](https://tex.z-dn.net/?f=h_%7Bwithheels%7D%20%2A%200%2C96%20%3D%20h_%7Bwithoutheels%7D)
to that:
![h_{withheels} = \frac{1}{0,96} \cdot h_{withoutheels}](https://tex.z-dn.net/?f=h_%7Bwithheels%7D%20%3D%20%5Cfrac%7B1%7D%7B0%2C96%7D%20%5Ccdot%20h_%7Bwithoutheels%7D)
Here your factor will be 1/0,96 = 1,0416....
Easy test:
![h_{withheels} = 190cm\\h_{without heels} = 190 \cdot 0,96 = 182,4cm\\h_{withheels} = h_{without heels} \cdot \frac{1}{0,96} = 190cm](https://tex.z-dn.net/?f=h_%7Bwithheels%7D%20%3D%20190cm%5C%5Ch_%7Bwithout%20heels%7D%20%3D%20190%20%5Ccdot%200%2C96%20%3D%20182%2C4cm%5C%5Ch_%7Bwithheels%7D%20%3D%20h_%7Bwithout%20heels%7D%20%5Ccdot%20%5Cfrac%7B1%7D%7B0%2C96%7D%20%3D%20190cm)
L is Y=4
M is Y=-2x+4
N is Y=x-1
P is X= -4